Stochastic Comparisons of Extreme Order Statistics in the Heterogeneous Exponentiated Scale Model

DOI

10.2991/jsta.2017.16.2.7How to use a DOI?

Keywords

Archimedean copula; exponentiated scale model; majorization; parallel system; series system.

Abstract

The effect of heterogeneity on order statistics has attracted much attention in recent decades. In this paper, first, we discuss stochastic comparisons of extreme order statistics from independent heterogeneous exponentiated scale samples. These comparisons are made with respect to usual stochastic, reversed hazard rate and likelihood ratio orderings. Then, in the presence of the Archimedean copula or survival copula for the random variables, we obtain the usual stochastic order of the sample extremes. In addition, some examples and applications are illustrated.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Esmaeil Bashkar
AU  - Hamzeh Torabi
AU  - Rasool Roozegar
PY  - 2017
DA  - 2017/06/01
TI  - Stochastic Comparisons of Extreme Order Statistics in the Heterogeneous Exponentiated Scale Model
JO  - Journal of Statistical Theory and Applications
SP  - 219
EP  - 238
VL  - 16
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2017.16.2.7
DO  - 10.2991/jsta.2017.16.2.7
ID  - Bashkar2017
ER  -